US12589494B2 - Techniques for controlling robots using dynamic gain tuning - Google Patents
Techniques for controlling robots using dynamic gain tuningInfo
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- US12589494B2 US12589494B2 US18/443,209 US202418443209A US12589494B2 US 12589494 B2 US12589494 B2 US 12589494B2 US 202418443209 A US202418443209 A US 202418443209A US 12589494 B2 US12589494 B2 US 12589494B2
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/004—Artificial life, i.e. computing arrangements simulating life
- G06N3/008—Artificial life, i.e. computing arrangements simulating life based on physical entities controlled by simulated intelligence so as to replicate intelligent life forms, e.g. based on robots replicating pets or humans in their appearance or behaviour
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Program-control systems
- G05B19/02—Program-control systems electric
- G05B19/04—Program control other than numerical control, i.e. in sequence controllers or logic controllers
- G05B19/042—Program control other than numerical control, i.e. in sequence controllers or logic controllers using digital processors
- G05B19/0426—Programming the control sequence
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Program-controlled manipulators
- B25J9/16—Program controls
- B25J9/1628—Program controls characterised by the control loop
- B25J9/163—Program controls characterised by the control loop learning, adaptive, model based, rule based expert control
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Program-controlled manipulators
- B25J9/16—Program controls
- B25J9/1628—Program controls characterised by the control loop
- B25J9/1633—Program controls characterised by the control loop compliant, force, torque control, e.g. combined with position control
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Program-controlled manipulators
- B25J9/16—Program controls
- B25J9/1656—Program controls characterised by programming, planning systems for manipulators
- B25J9/1664—Program controls characterised by programming, planning systems for manipulators characterised by motion, path, trajectory planning
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- G06N3/092—Reinforcement learning
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/30—Nc systems
- G05B2219/39—Robotics, robotics to robotics hand
- G05B2219/39298—Trajectory learning
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
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- G06N3/00—Computing arrangements based on biological models
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- G06N3/048—Activation functions
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Abstract
Description
where, M, K, and D are the inertia, stiffness, and damping matrices, respectively. M, K, D are positive definite diagonal matrices with diagonal entries mi, ki, di>0 for i=1, 2, . . . , 6. Returning to the example of a robot insertion task in which one object (e.g., a peg) is inserted into another object (e.g., an object with a hole), the robot insertion task can be modelled as a Markov Decision Process (MDP), denoted as {S, A, R, P, γ}, where S∈ 18 includes position x∈ 6, such as a peg pose, a velocity {dot over (x)}∈ 6, and a contact force f∈ 6. The action space A∈ 12 includes the incremental robot Cartesian motion Δx∈ 6 and the diagonal entries of the stiffness matrix k={k1, . . . , k6}. The reward function R can be defined such that deviations from desired motions are rewarded. For example, elements of the reward function can be defined as r=−∥xpos−xd∥2, where xd is the desired pose, which penalizes the Euclidean distance between a current pose of the robot and a fixed target point inside a hole. P represents the state-transition probability, which defines the probability of the robot moving from one position, velocity, and force to another given an action. In addition, the constant γ∈[0,1) is a discount factor. During reinforcement learning, the reinforcement learning module 304 trains, for a reinforcement learning agent, a policy π:S→A that maps a position, a velocity, and a force into an action that maximizes the expected sum of discounted rewards
In some embodiments, reinforcement learning module 304 only trains a policy for the robot stiffness K, while keeping the inertia matrix M fixed, for simplicity. In some embodiments, the damping matrix D is computed as D=4√{square root over (MK)} to ensure an overdamped system. In some embodiments, reinforcement learning module 304 uses any technically feasible reinforcement learning techniques, such as the Soft-Actor-Critic technique and/or the like, to initially train on a task with a larger clearance (e.g., a clearance of 0.5 mm) to establish a baseline policy. The initial training sets the stage for subsequent training for more challenging tasks, such as an insertion with a smaller clearance (e.g., a 0.3 mm clearance) mirroring the intricate demands of real-world tasks.
Given the distribution of the robot motion and next contact force P(Δxt, ft+1|st, E), the admittance gain kt are adjusted relative to Δxt, st, and E to align the contact force achieved by the robot P(ft+1|Δxt, kt, st, E) with the target distribution. In practice, the distribution P(Δxt, ft+1|st, E) is often unknown. In some embodiments, gain tuner model 153 is modeled as
which tunes the admittance gain automatically to match the actual forces with the desired forces fd. In some embodiments, previous trajectory data τgt is used to approximate environmental properties E:
where H is a preset window size, based on the intuition that the environmental properties E are encoded in the previous trajectory τgt, and therefore E can be inferred from τgt. Replacing the dependency on E with τgt, gain tuner model 153 is modeled as
At each time step t, the inputs for gain tuner model 153 are
and the planned next force
The output of gain tuner model 153 is the predicted admittance gain kt. In some embodiments, during training, the planned next force
is replaced with the ground truth ft+1 available from the simulation dataset stored in simulation data storage 302, and the training loss is the mean-squared error (MSE) between the predicted and actual admittance gains.
where
is the desired future return until the last timestep of the trajectory T. Then,
is combined with the current robot state st=[xt, {dot over (x)}t, ft] and the desired return Rt to serve as the input for the force planner
Force planner model 152 predicts the subsequent robotic motion Δxt and the next contact force
Model trainer 115 uses an MSE loss function for the robot motion to train force planner model 152 and the next contact force is enforced to train force planner model 152.
where rt′ is the immediate reward at time t′, and added to D; (3) Batch Processing: The collected data in D is processed in batches. For each batched set of data {xt, Ax, ft, fnext, R, τ}: gain tuner model 153 computes the admittance gain k using the equation k=GT(knext, Ax, xt, τgt), where knext is the subsequent admittance gain, Ax is the action, xt is the current state, and τgt is the previous trajectory data. The loss function for gain tuner model 153 is calculated as Loss sgt=∥k−knext∥2, representing the squared difference between the predicted and actual admittance gains; (4) Force Planner Training: force planner model 152 predicts the next state Δxnext using the function FP(Ax, fnext, xt, R, τfp), which considers the action Ax, the predicted next force fnext, the current state xt, the desired return R, and the trajectory τfp. The loss function for force planner model 152 is calculated as Loss fp=∥Δx−Δxactual∥2+∥fnext factual∥2, which combines the squared difference between the predicted and actual state changes with the squared difference between the predicted and actual forces; (5) Model Updates: Both gain tuner model 153 and force planner model 152 are updated to minimize the respective loss functions, Loss sgt and Lossfp, using optimization methods, such as gradient descent and/or the like.
In some embodiments, the force f is measured by force sensors, which provides real-time feedback on the force that the robot is currently applying to the environment. The admittance controller 501 operates by analyzing the force f and desired robot motion 505 and applying the admittance gains K to generate a compliant motion 507, denoted herein by xc, {dot over (x)}c. Although described herein primarily with respect to admittance controller 501 as a reference example, techniques disclosed herein can be used with any technically feasible controllers in some embodiments, such as controllers that directly control the position and orientation of a robot without feedback.
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- 1. In some embodiments, a computer-implemented method for controlling a robot comprises generating, via a first trained machine learning model, a robot motion and a predicted force associated with the robot motion, determining, via a second trained machine learning model, a gain associated with the predicted force, generating one or more robot commands based on the robot motion and the gain, and causing a robot to move based on the one or more robot commands.
- 2. The computer-implemented method of clause 1, wherein generating the one or more robot commands comprises performing one or more admittance control operations based on the robot motion, the gain, and a sensed force.
- 3. The computer-implemented method of clauses 1 or 2, wherein the one or more admittance control operations generate one or more complaint motions, and the method further includes generating the one or more robot commands based on the one or more complaint motions.
- 4. The computer-implemented method of any of clauses 1-3, wherein generating the robot motion and the predicted force comprises inputting a previous robot trajectory and a target return into the first trained machine learning model that outputs the robot motion and the predicted force.
- 5. The computer-implemented method of any of clauses 1-4, wherein determining the gain comprises inputting the robot motion, the predicted force, and a previous robot trajectory into the second trained machine learning model that outputs the gain.
- 6. The computer-implemented method of any of clauses 1-5, further comprising performing one or more operations to generate simulation data during training of a reinforcement learning model based on one or more simulations of the robot within a virtual environment, and performing one or more operations to train a first machine learning model based on the simulation data to generate the first trained machine learning model, and performing one or more operations to train a second machine learning model based on the simulation data to generate the second trained machine learning model.
- 7. The computer-implemented method of any of clauses 1-6, wherein the simulation data includes at least one of robot state data, robot motion data, gain data, force data, or data indicating whether the robot successfully performed one or more tasks within the virtual environment.
- 8. The computer-implemented method of any of clauses 1-7, wherein the first machine learning model and the second machine learning model are trained based on a mean squared error loss.
- 9. The computer-implemented method of any of clauses 1-8, wherein the predicted force is a contact force, and the gain is a compliance gain.
- 10. The computer-implemented method of any of clauses 1-9, wherein each of the first trained machine learning model and the second trained machine learning model comprises a transformer model.
- 11. In some embodiments, one or more non-transitory computer-readable media store instructions that, when executed by at least one processor, cause the at least one processor to perform the steps of generating, via a first trained machine learning model, a robot motion and a predicted force associated with the robot motion, determining, via a second trained machine learning model, a gain associated with the predicted force, generating one or more robot commands based on the robot motion and the gain, and causing a robot to move based on the one or more robot commands.
- 12. The one or more non-transitory computer-readable media of clause 11, wherein generating the one or more robot commands comprises performing one or more admittance control operations based on the robot motion, the gain, and a sensed force.
- 13. The one or more non-transitory computer-readable media of clauses 11 or 12, wherein the one or more admittance control operations generate one or more complaint motions, and the instructions, when executed by the at least one processor, further cause the at least one processor to perform the step of generating the one or more robot commands based on the one or more complaint motions.
- 14. The one or more non-transitory computer-readable media of any of clauses 11-13, wherein generating the robot motion and the predicted force comprises inputting a robot trajectory associated with one or more previous time steps and a target return into the first trained machine learning model that outputs the robot motion and the predicted force.
- 15. The one or more non-transitory computer-readable media of any of clauses 11-14, wherein determining the gain comprises inputting the robot motion, the predicted force, and a robot trajectory associated with one or more previous time steps into the second trained machine learning model that outputs the gain.
- 16. The one or more non-transitory computer-readable media of any of clauses 11-15, wherein the instructions, when executed by the at least one processor, further cause the at least one processor to perform the steps of performing one or more operations to generate simulation data during training of a reinforcement learning model based on one or more simulations of the robot within a virtual environment, and performing one or more operations to train a first machine learning model based on the simulation data to generate the first trained machine learning model, and performing one or more operations to train a second machine learning model based on the simulation data to generate the second trained machine learning model.
- 17. The one or more non-transitory computer-readable media of any of clauses 11-16, wherein the simulation data includes at least one of robot state data, robot motion data, gain data, force data, or data indicating whether the robot successfully performed one or more tasks within the virtual environment.
- 18. The one or more non-transitory computer-readable media of any of clauses 11-17, wherein each of the one or more operations to train the first machine learning model and the one or more operations to train the second machine learning model include one or more supervised learning operations.
- 19. The one or more non-transitory computer-readable media of any of clauses 11-18, wherein the robot motion includes at least one of a change in position or a change in orientation.
- 20. In some embodiments, a system comprises one or more memories storing instructions, and one or more processors that are coupled to the one or more memories and, when executing the instructions, are configured to generate, via a first trained machine learning model, a robot motion and a predicted force associated with the robot motion, determine, via a second trained machine learning model, a gain associated with the predicted force, generate one or more robot commands based on the robot motion and the gain, and cause a robot to move based on the one or more robot commands.
Claims (20)
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| US18/443,209 US12589494B2 (en) | 2023-09-14 | 2024-02-15 | Techniques for controlling robots using dynamic gain tuning |
| CN202411257472.5A CN119623507A (en) | 2023-09-14 | 2024-09-09 | Technique for controlling a robot using dynamic gain regulation |
| EP24200545.2A EP4528406A1 (en) | 2023-09-14 | 2024-09-16 | Techniques for controlling robots using dynamic gain tuning |
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| US12560946B2 (en) * | 2024-04-19 | 2026-02-24 | Nvidia Corporation | Using simulated environments to improve autonomous robot operation in real environments |
| CN120095834B (en) * | 2025-05-07 | 2025-07-15 | 成都航天凯特机电科技有限公司 | Adaptive robot trajectory planning method and system based on deep reinforcement learning |
| CN120941416B (en) * | 2025-10-15 | 2025-12-30 | 中国科学技术大学 | Control method of chemical powder grinding mechanical arm based on reinforcement learning |
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